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Finding the Third Proportional to 9,840.08 and 15,391.58

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Solution

The third proportional to 9,840.08 and 15,391.58 is: 24,075.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,840.08 : 15,391.58 = 15,391.58 : x
  2. Step 2: Convert to fraction form
    9,840.08/15,391.58 = 15,391.58/x
  3. Step 3: Cross multiply
    9,840.08x = 15,391.58 × 15,391.58
  4. Step 4: Simplify right side
    9,840.08x = 236,900,797.42
  5. Step 5: Solve for x
    x = 236,900,797.42/9,840.08
  6. Step 6: Final answer
    x = 24,075.10

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.